問題詳情

23. Let A ∈

and x ∈

. Which of the following statements are true?

(A) If A is singular, then O is an eigenvalue of A.

(B) A and

share the same eigenvalues and eigenvectors.

(C) If A is diagonalizable, then A has n distinct eigenvalues.

(D) Suppose that A is nonsingular. The condition Ax = Ix implies

.

(E) Supposc that all the eigenvalues of A are real and positive. Then we have

> 0.

參考答案

答案:[無官方正解]
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